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Tensor networks impose a notion of geometry on the entanglement of a quantum system. In some cases, this geometry is found to reproduce key properties of holographic dualities, and subsequently much work has focused on using tensor networks…

Strongly Correlated Electrons · Physics 2017-10-04 Katharine Hyatt , James R. Garrison , Bela Bauer

Building large-scale quantum computers, essential to demonstrating quantum advantage, is a key challenge. Quantum Networks (QNs) can help address this challenge by enabling the construction of large, robust, and more capable quantum…

Quantum Physics · Physics 2025-03-20 Xiaojie Fan , Caitao Zhan , Himanshu Gupta , C. R. Ramakrishnan

In quantum gravity, several approaches have been proposed until now for the quantum description of discrete geometries. These theoretical frameworks include loop quantum gravity, causal dynamical triangulations, causal sets, quantum…

General Relativity and Quantum Cosmology · Physics 2015-09-14 Ginestra Bianconi , Christoph Rahmede

Quantum network is fragile to disturbances when qubits are transmitted through quantum channel. Reliability is an essential requirement for a quantum network and even the future quantum internet. A metric is needed to describe the…

Quantum Physics · Physics 2020-04-27 Ying Liu

Network science provides a universal framework for modeling complex systems, contrasting the reductionist approach generally adopted in physics. In a prototypical study, we utilize network models created from spectroscopic data of atoms to…

Graph states are used to represent mathematical graphs as quantum states on quantum computers. They can be formulated through stabilizer codes or directly quantum gates and quantum states. In this paper we show that a quantum graph neural…

Quantum Physics · Physics 2024-10-31 Ammar Daskin

The quantum graph plays the role of a solvable model for a two-dimensional network. Here fitting parameters of the quantum graph for modelling the junction is discussed, using previous results of the second author.

Mathematical Physics · Physics 2007-06-13 M. Harmer , B. S. Pavlov , A. Yafyasov

The classical and quantum dynamics of a particle trapped in a one-dimensional infinite square well with a time periodic pulsed field is investigated. This is a two-parameter non-KAM generalization of the kicked rotor, which can be seen as…

Chaotic Dynamics · Physics 2009-11-07 R. Sankaranarayanan , A. Lakshminarayan , V. B. Sheorey

Quantum networks are composed of quantum nodes that interact coherently by way of quantum channels and open a broad frontier of scientific opportunities. For example, a quantum network can serve as a `web' for connecting quantum processors…

Quantum Physics · Physics 2011-10-31 K. S. Choi , A. Goban , S. B. Papp , S. J. van Enk , H. J. Kimble

We introduce a physical approach to social networks (SNs) in which each actor is characterized by a yes-no test on a physical system. This allows us to consider SNs beyond those originated by interactions based on pre-existing properties,…

Physics and Society · Physics 2012-07-17 Adan Cabello , Lars Eirik Danielsen , Antonio J. Lopez-Tarrida , Jose R. Portillo

We introduce a new approach to evaluating entangled quantum networks using information geometry. Quantum computing is powerful because of the enhanced correlations from quantum entanglement. For example, larger entangled networks can…

Quantum Physics · Physics 2018-12-27 Warner A. Miller

Standard particle theory is based on quantized matter embedded in a classical geometry. Here, a complementary model is proposed, based on classical matter -- massive bodies, without quantum properties -- embedded in a quantum geometry. It…

Quantum Physics · Physics 2013-03-26 Craig Hogan

Networks are topological and geometric structures used to describe systems as different as the Internet, the brain or the quantum structure of space-time. Here we define complex quantum network geometries, describing the underlying…

Disordered Systems and Neural Networks · Physics 2015-09-02 Ginestra Bianconi , Christoph Rahmede , Zhihao Wu

Discrimination between objects, in particular quantum states, is one of the most fundamental tasks in (quantum) information theory. Recent years have seen significant progress towards extending the framework to point-to-point quantum…

Quantum Physics · Physics 2023-07-26 Christoph Hirche

This paper introduces a novel architecture for Quantum Graph Neural Networks, which is significantly different from previous approaches found in the literature. The proposed approach produces similar outcomes with respect to previous models…

We use so-called geometrical approach in description of transition from regular motion to chaotic in Hamiltonian systems with potential energy surface that has several local minima. Distinctive feature of such systems is coexistence of…

Chaotic Dynamics · Physics 2007-05-23 V. P. Berezovoj , Yu. L. Bolotin , G. I. Ivashkevych

In classical theory, the physical systems are elucidated through the concepts of particles and waves, which aim to describe the reality of the physical system with certainty. In this framework, particles are mathematically represented by…

Quantum Physics · Physics 2024-09-25 Mohammad Vahid Takook , Ali Mohammad-Djafari

Graph-theoretic structures play a central role in the description and analysis of quantum systems. In this work, we introduce a new class of quantum states, called $A_\alpha$-graph states, which are constructed from either unweighted or…

Quantum Physics · Physics 2025-12-19 Rohit kumar , Satyabrata Adhikari

This workshop brought together experts in classical graph theory and quantum information science to explore the intersection of these fields, with a focus on quantum graph states and their applications in computing, networking, and sensing.…

"action at a distance" is a weird concept in quantum theory which people always avoid mentioning in most occasions. In this work, without involving any concept about "action at a distance", we naturally construct a physical structure that…

Quantum Physics · Physics 2018-05-04 Ze Wu , Ming-jun Shi